Device for polysecting any given angle.



n. KAPLAN.

DEVICE FOR POLYSECTING ANY GIVEN ANGLE. APPLICATION FILED JAN.9, 191s.

L1%,369, Patented July 6, 191-5.

ED STA i S DAVID KAPLAN, on NEW YORK, n. Y.

DEVICE FOR IPOLYSEC'IING ANY GIVEN ANGLE.

, To all whom. it may concern:

Beit known that I, Dnvm-Kunnma citizen of the United States of America,and

a resident of the city of New York,- borough of the Bronx, and State ofNew York, have invented a new and useful Device for Poly-v sccting AnyGiven Angle.

Therel are several mechanical devices'for polysecting an angle, but theyare cumbersome in construction and require a number of adjustmentsbefore the desired angle is i obtained.

of parts'and requiring less adjustments than The object of my device isto provide an instrument forpolysecting an angle of simple constructionemploying the least number any of the other devices known.

One of the many advantages of my device is that it is very simple bothin its construction and operation.

Another advantage is that it requires only one setting of the instrumentto get the required angle.

A further advantage is that it is mathematically correct, there being noapproximations in the theory of its action.

Other advantages will be apparent from the detailed description and theaccompanying drawing, which forms a part of this specification and inwhich:

Figure 1 is a. plan view of my device, Fig. 2 is an elevation of mydevice taken on line 22 of Fig. 1. Fig. 3 is a section taken oneline 3-3of Fig.1. Fig. 4 is a diagram showing the method of dividing an angleinto four or any even number of equal parts and Fig. 5 is a diagramshowing the method of dividing an angle into five. or any odd number ofequal parts.

In the accompanying figures like numerals indicate corresponding partsin all views.

The bars 7 and 9 comprising the external limiting members and beingprovided with slots 8 and 10 respectively are pivoted about the pin 20so that the center lines of the slots 8 and 10 intersect at the centerline of the pin 20. The bar 1 is pivoted about the pin 12 which isscrewed into the bar 7. The

distance between the centers of the pins 20 and 12 on the bar 7, as wellas the distances between centers of pins 12 and 13, 13 and 14, 14: and15, etc., are made equal, thus making the barsl, 2, 3, 4/5, 6, etc.,equal in length. The pin 13 holds the ends of bars 1 and 2 togetherallowing them to swing about it, while at the same time the pin PatentedJuly 6, ions.

itself may slide in the slot 10. Similarly the pin 14 is a pivot for thebars 2 and 3 at the same time allowing their intersection to slide inthe slot 8. In a similar'manner the intersections of the bars 3 and A, 4and 5, 5 and 6, etc., are held by the pins 15, 16, 17. etc,respectively.. The bars 1, 2, 3, 4, 5 ar". 6 are thus interposed betweenthe limitii 1 members 7 and 9. The pin 20 being provided with a prickpoint is adapted to be inserted into the handle 11 and held in place bythe collar 19. The piece 21 is provided with two removable prick points22 and 23 which are in turn adapted to be inserted into the center holesof the two pins 13 and 14 of bar 2, 14:.and 15 of bar '3, 15 and 16 ofbar- 4, etc. The rounded lugs 24 and 25 are provided for the purpose ofhaving the instrument stand horizontally at some distance above theplane of the paper, when in use, in order to facilitate the piercing ofthe prick pins 20, 22 and 23 exactly through the required points. 1

Let us now assume that it is desired to divide an angle into four equalparts. Re-

ferring to Fig. 4:, let ABC be the given angle,

which is to be divided into four equal parts. Thepins 22 and 23 are nowinserted into the central, holes of the pins 15 and 16 corresponding .tothe bar 4. The pin 23 is placed over the point B while the pin 22 isplaced on the line BC at the point d s0 that the center lineof the bar 4coincides with the line BC and the points of the pins are pricked intothe paper making the bar rigidly fixed. The pin 20 is now brought uponthe line AB falling at point A and the point of the pin is pricked intothe paper to 1 that the pins 22 and 28 are inserted into the centralholes of the bar corresponding to the number of d 1v1s1ons required. Forexample, 1f six divisions are required the sixth bar from the vertex isused, if eight divisions are required the eighth bar is used, etc.

let it be required to divide the angle ABC into five equal parts thedistance Bel equal to the distance between the centers of the holes inany of the bars is laid ofi' on BC, and the line dB is drawn parallel tothe line ,AB. The pins 22 and 23 are now inse'rted'intothe central holes15 and 16 of the bar 4, the number of bar being one less thanthe numberof required divisions, while the two pin points are pricked into thepaper'at points B and (Z thus making bar 4 coincide on its center linewith line BC. Thepin .20 is now brought upon the line cZE fallingatpoint E and is pricked into the paper. .The angle BEd or ABE is therequired angle.

Proof:

Angle .dEB abE; angle 5ac:b0a:2 (ZEB. i

Angle (Zbc:cdb:cZEB+bca:3 dEB.

But angle dEB:ABE; hence angle cldrlztXABE, and angle ABC= ABE+ QBdSXABE.

Therefore angle ABE is -l-th of angle ABC. K

From the above example it is evident that for any other odd number ofdivisions the number of bar to be fixed upon the side BC mustbe one lessthan the number of re quired divisions. For'exainple, if seven divisionsare required the sixth bar from thevertex is to be used, if ninedivisions are required the eighth bar is' used, etc.

It was so far shown how to polysect an acute angle. If it is desired topolysect an obtuse angle, say into a parts, then referring to Fig. i,where CBD is the given angle, we have:

Angle CBDzCB n'ianncr, the sum of the two angles thus foundis therequired angle. It is therefore evident that my device can be used forpolysccting witlrone operation any given angle between 0 and 90 and withtwo operations any'anglebetween 90 and 180.

' The mechanism herein shown embodies my'prcferred form, though it maybe modilied in some degree, however employing the same generalprinciples.

- I def not wish therefore to limit myself wislr to include allmechanisms embodying the same princlples or my 'IIIVBIltIOII,

'specii'ie'me'chanism herein. shown but Having thus described myinvention, I claim as new and wish to secure by Letters Patent:

1. A device for polysecting an angle, comprising a pair of externallimiting members pivotally connected to each other and a plurality oflinks interposed between the said limiting members, each one of the saidlinks being pivotally connected to an adjacent link, and all of the saidlinks, except the innermost one toward the point of intersection of thesaid limiting members, being slidably connected to both of the saidlimiting members, the said innermost link being pivotally connected toone of the said limiting members and slidably connected to the otherlimiting member.

2. A device for polysecting an angle, comprising a pair of externallimiting members pivotally connected to each other and a plurality oflinks of equal length pivotally connected to each other interposedbetween the said limitingmembers, each one of the said links, except theinnermost one toward the point of intersection of-the said limitingmembers, being slidably. connected to both of the said limiting members,the said innermost link being pivotally connected to one of the saidlimiting members.

3. A device for polysecting an angle, comprising a pair of externallimiting members pivotally connected to each other and a plurality oflinks of equal length interposed between thesaid limiting members, eachone of the said links being pivotallyconnected to an adjacent link, andall of the said links, except the innermost one toward the point ofintersection of the said limiting members, being ,slidably connected toboth of the said limiting members, one end of-the said innermost linkbeing pivotally connected to one of the said limiting members at adistance from the intersection of the said limiting members equal to thelengthof one link between its pivot centers,

while the other end is slidably connected to r the other limiting.member.

4. A device for polysecting an angle, comprising a pair of'eXt-ernallimiting members pivotally connected toeach other and a plurality oflinks interposed between the said limiting members, each one of the saidlinks, except the extreme end ones, being pivotally connected at each ofits extremities to an adjacent link and slidably connected to both ofthesaidlimiting members at its points of intersection with the adjacentlinks" p 5. A device for polysecting an 'angle, comprising a pair ofexternal limiting members pivotally connected to each other and apluralityr of links .of equal lengthinter pos al between the said'i'limiting "members, each one fof thesaid"links except'the ex treme endones, being 'pivo'tall'y connected ldneeted to each other interposedbetween the said limiting members, .each one of the said links exceptthe innermost one toward the point of intersection of the said limitingmembers, being adapted to have its pivot pins at its extremities slidein the slots of both of the said limiting members, thereby forming aplurality of triangles of variable altitudes;

Signed at New York, county of New York and State of New York, this 7thday of January, 1915.

DAVID KAPLAN.

Witnesses:

Monnrs SIDRAN, NATHAN Bonsmz.

